Question

which of the following ordered pairs satisfy both 3x-y<10 and x+6y≥15?​

Answer 1

Answer:

Plug it in the first inequality:

3x - y < 10

3(-3) - (-3) < 10

-9 + 3 < 10

-6 < 10

That's true.

Plug it in the second inequality:

x + 6y > 15

(-3) + 6(-3) > 15

-3 - 18 > 15

-21 > 15

Answer 2

Answer:

Both 3x-y:10 and x+6y:15 have a satisfactory ordered pair, and it is ( -6,6). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate).

Step-by-step explanation:

A

Substitute $\left\{\begin{array}{l}x=-3 \\ y=-3\end{array}\right.$  into $3 x-y < 10, x+6 y \geq 15$ and simplify: $\left\{\begin{array}{l}-6 < 10 \\ -21 \geq 15\end{array}\right.$

Establish whether something is untrue or true:

B

Substitute$\left\{\begin{array}{l}x=7 \\ y=-4\end{array}\right.$  into $3 x-y < 10, x+6 y \geq 15$ and simplify: $\left\{\begin{array}{l}25 < 10 \\ -17 \geq 15\end{array}\right.$

Establish whether something is untrue or true:

C

Substitute$\left\{\begin{array}{l}x=9 \\ y=1\end{array}\right.$  into $3 x-y < 10, x+6 y \geq 15$  and simplify: $\left\{\begin{array}{l}26 < 10 \\ 15 \geq 15\end{array}\right.$

Establish whether something is untrue or true:

D

Substitute $\left\{\begin{array}{l}x=-6 \\ y=6\end{array}\right.$ into $3 x-y < 10, x+6 y \geq 15$and simplify: $\left\{\begin{array}{l}-24 < 10 \\ 30 \geq 15\end{array}\right.$

as to whether the following is true: Correct Response

A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.

The complete question is

Which of the following ordered pairs satisfy both$3 x-y < 10$ and $x+6 y$$\geq 15$ ?

$a.(-3,-3) b. (7,-4) c. (9,1) d, (-6,6)$

Therefore the correct answer is option d ) ( - 6 , 6 )

To learn more about ordered pair refer to :

https://brainly.in/question/23801200

https://brainly.com/question/11139505

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